{ "metadata": { "name": "", "signature": "sha256:78531b0785918b1cee36927944e1aa3677353313c19616351c22f55d5f03f5d4" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Examples of drawing scientific diagrams with Asymptote in IPython notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These examples are taken from the [gallery on Asymptote's website](http://asymptote.sourceforge.net/gallery/). We start by installing the asymptote IPython magics remotely." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Install the IPython magic extension\n", "%install_ext http://raw.github.com/azjps/ipython-asymptote/master/asymptote.py" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Installed asymptote.py. To use it, type:\n", " %load_ext asymptote\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# Load the extension\n", "%reload_ext asymptote" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Examples" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%asy\n", "size(250);\n", "\n", "real a=3;\n", "real b=4;\n", "real c=hypot(a,b);\n", "\n", "transform ta=shift(c,c)*rotate(-aCos(a/c))*scale(a/c)*shift(-c);\n", "transform tb=shift(0,c)*rotate(aCos(b/c))*scale(b/c);\n", "\n", "picture Pythagorean(int n) {\n", " picture pic;\n", " fill(pic,scale(c)*unitsquare,1/(n+1)*green+n/(n+1)*brown);\n", " if(n == 0) return pic;\n", " picture branch=Pythagorean(--n);\n", " add(pic,ta*branch);\n", " add(pic,tb*branch);\n", " return pic;\n", "}\n", "\n", "add(Pythagorean(12));" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "png": 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a6iGsiANFA/nXmJspBtbpGtEDyoBnWS71NEktk4EVTVEkB1Vzs6mSpJzrKA4p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\nST6C7B1Xn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"prompt_number": 3, "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the -f --outformat argument, the output format of the image can be changed. By default the image is output as a png. Asymptote may require additional configurations or third party programs (ImageMagick) for additional formats." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%asy -f png\n", "import graph3;\n", "import palette;\n", "import contour3;\n", "size(400);\n", "\n", "real f(real x, real y, real z) {\n", " return cos(x)*sin(y)+cos(y)*sin(z)+cos(z)*sin(x);\n", "}\n", "\n", "surface sf=surface(contour3(f,(-2pi,-2pi,-2pi),(2pi,2pi,2pi),12));\n", "sf.colors(palette(sf.map(abs),Gradient(red,yellow)));\n", "\n", "currentlight=nolight;\n", "\n", "draw(sf,render(merge=true));" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "png": 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O8Rpojcxzt/g9udficq3Rx4Mohl/bDOeGQ7tfshxR+WVbi5aqUBHu6dTIu85AWvW7xtPQ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"prompt_number": 4, "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "A local asymptote code file can also be compiled and displayed if its specified as the argument to an asy file:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "!head fin.asy" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "// See http://asymptote.sourceforge.net/gallery/fin.asy\n", "\n", "import three;\n", "import palette;\n", "\n", "int N = 26;\n", "real[] C = array(N,0); \n", "real[][] A = new real[N][N];\n", "for(int i = 0; i < N; ++i)\n", " for(int j = 0; j < N; ++j)\n" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "%asy fin.asy" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "png": 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"prompt_number": 6, "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also interactively append asymptote code to these files:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%asy fin.asy\n", "label(\"I added this new label right now!\", (2.0,0,0), NE);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "png": 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6hBuxW9kEHpZE0r/75fzX9BeS3mM/ru/bf0LgSUs7XF9RFKXrZdWOyQ87J8uyvT+xr3t9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\ng/+eXf75rVZ6y/z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"prompt_number": 7, "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To save the intermediate .asy code file and output image, use the -r --root argument." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%asy --root cube\n", "import three;\n", "currentprojection=orthographic(5,4,2, center=true);\n", "\n", "size(5cm);\n", "size3(3cm,5cm,8cm);\n", "\n", "draw(unitbox);\n", "dot(unitbox, red);\n", "\n", "label(\"$O$\", (0,0,0), NW);\n", "label(\"(1,0,0)\", (1,0,0), S);\n", "label(\"(0,1,0)\", (0,1,0), E);\n", "label(\"(0,0,1)\", (0,0,1), Z);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] }, { "metadata": {}, "output_type": "pyout", "png": 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"prompt_number": 8, "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "!head cube.asy" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "import three;\n", "currentprojection=orthographic(5,4,2, center=true);\n", "\n", "size(5cm);\n", "size3(3cm,5cm,8cm);\n", "\n", "draw(unitbox);\n", "dot(unitbox, red);\n", "\n", "label(\"$O$\", (0,0,0), NW);\n" ] } ], "prompt_number": 9 } ], "metadata": {} } ] }